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Finding the Fourth Proportional to 195,408, 292,948.80 and 83,176.32

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Solution

The fourth proportional to 195,408, 292,948.80 and 83,176.32 is: 124,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,408 : 292,948.80 = 83,176.32 : x
  2. Step 2: Convert to fraction form
    195,408/292,948.80 = 83,176.32/x
  3. Step 3: Cross multiply
    195,408x = 292,948.80 × 83,176.32
  4. Step 4: Simplify right side
    195,408x = 24,366,403,132.42
  5. Step 5: Solve for x
    x = 24,366,403,132.42/195,408
  6. Step 6: Final answer
    x = 124,695.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.